On the Stokes semigroup in some non-Helmholtz domains (Q2257993)
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| Language | Label | Description | Also known as |
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| English | On the Stokes semigroup in some non-Helmholtz domains |
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On the Stokes semigroup in some non-Helmholtz domains (English)
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2 March 2015
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It is shown that the \(L_p\)-Helmholtz decomposition is not necessary to establish the analyticity of the Stokes semigroup in \(C_{0,\sigma}\), the \(L_\infty\)-closure of the space of all compactly supported smooth solenoidal vector fields. In fact, in a sector-like domain for which the \(L_p\)-Helmholtz decomposition does not hold, the analyticity of the Stokes semigroup in \(C_{0,\sigma}\) is proved.
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sector-like domain
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Heimholtz decomposition
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Neumann problem
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weighted estimate
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